Literature cited
A. N. Kraiko and A. A. Makhmudov, “Modeling the unsteady flow of a ponderable fluid through porous media,” Preprint No. 168-88 [in Russian], Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk (1988).
L. S. Leibenzon, Collected Works, Vol. 2. Subterranean Fluid Dynamics [in Russian], Publishing House of the USSR Academy of Sciences, Moscow (1953).
N. N. Verigin, “Motion of moisture in the soil,” Dokl. Akad. Nauk SSSR,89, 229 (1953).
N. N. Verigin, “Wetting of the soil in sprinkler irrigation,” Dokl. Akad. Nauk SSSR,89, 627 (1953).
P. Ya. Polubarinova-Kochina, Theory of Ground Water Motion [in Russian], Nauka, Moscow (1977).
R. I. Nigmatulin, Fundamentals of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).
A. N. Kraiko, “Two-fluid model of gas flows with dispersed particles,” Prikl. Mat. Mekh.,46, 96 (1982).
G. B. Whitham, Linear and Nonlinear Waves, Wiley-Interscience, New York (1974).
J. Pedlosky, Geophysical Fluid Dynamics, Springer, Berlin (1979).
A. A. Makhmudov, “Numerical solution of some problems of shallow water theory,” Zh. Vychisl. Mat. Mat. Fiz.,27, 788 (1987).
A. A. Makhmudov, “Extension of the SHASTA method to the numerical solution of the two-dimensional unsteady shallow water equations,” Zh. Vychisl. Mat. Mat. Fiz.,27, 1262 (1987).
A. O. Akan and B. C. Gen, “Mathematical model of shallow water flow over porous media,” Hydraul. Division, Proc. Am. Soc. Civ. Eng.,107, 479 (1981).
I. N. Kochina, N. N. Mikhailov, and M. V. Filinov, “Groundwater mound damping,” Int. J. Eng. Sci.,21, 413 (1983).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 103–110, July–August, 1989.
The authors are grateful to V. M. Entov for useful advice.
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Kraiko, A.N., Makhmudov, A.A. Solution of the two-dimensional unsteady problem of percolation into a porous soil within the framework of the instantaneous saturation model. Fluid Dyn 24, 574–581 (1989). https://doi.org/10.1007/BF01052420
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DOI: https://doi.org/10.1007/BF01052420